Authenticated key agreement for IoT network using HECC and CRT four co-primes

Abstract

Internet of Things (IoT) is an integral part of our daily lives and the security of these devices is paramount. However, IoT devices are often resource constrained, requiring implementations of efficient lightweight security strategy for such environments. In this paper, we propose a novel identity authenticated Key Agreement Scheme (KAS) for IoT environments based on Hyper Elliptic Curve Cryptography (HECC) and Chinese Remainder Theorem (CRT) built on four co-prime integers. The distributed CRT four co-prime based KAS permits multiple shared keys between devices which facilitates a subset construction with much greater device support and having full connectivity till depth four and overall better connectivity till greater depths than its two co-prime counterpart. We develop an efficient authentication mechanism based on HECC that has much smaller key sizes than most existing cryptosystems. The authentication part treats devices identities related to CRT four co-prime KAS as secret information during their exchange and thereby eliminates the well known selective device attack (SDA). We compute the standard resiliency measure, fail(s) with \(s=1\) for our authenticated CRT four co-prime KAS. Proposed scheme are secure against a variety of attacks, including reply attack, impersonation attack, user anonymity. A comparative study with existing schemes in terms of storage, network connectivity, communications overheads, scalability, resiliency and standard security parameters exhibits superiority of our schemes making them more apt during implementations in practical deployment zones.